1. Graphing LINEAR Inequalities
Algebra 1
Book Section 5.6
Essential Question:
What is the process for graphing linear inequalities on a coordinate plane?

2. A poll showed that 62% of the voters are in favor of a proposed law
A poll showed that 62% of the voters are in favor of a proposed law. The margin of error was 2.5%. What is the range of the percent of voters p who are in favor of the law?
A. 62% ≤ p
B. 59.5% < p < 64.5%
C. 59.5% ≤ p ≤ 64.5%
D. 59% < p < 65%

3. Mathematical Practices 5 Use appropriate tools strategically.
Content Standards
A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Mathematical Practices
5 Use appropriate tools strategically.
Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

4. You graphed linear equations.
Graph linear inequalities on the coordinate plane.
Solve inequalities by graphing.

5. Boundary
Half-plane
closed half-plane
open half-plane

6. 3 Steps for Graphing a Linear Inequality:
1. Isolate y (NEED y=mx+b)
2. Plot y int (b) and Slope (m) and Draw Line
*** Dashed Line < > *** Solid Line ≤ ≥
3. Shade Above or Below the Half Plane with the correct solution
REMEMBER TO REVERSE INEQ SIGN IF YOU * or / BY A NEG #

7. Cornell Notes EXAMPLE 1 – Graph an Inequality
Graph y > 2x + 3.

8. Cornell Notes EXAMPLE 2 – Graph an Inequality
Graph x + 4y  8.

9. You Try – Graph an Inequality
Graph y – 3x < 2.

10. You Try – Graph an Inequality
Graph x + 2y ≤ 6.

11. Cornell Notes EXAMPLE 3 – REAL LIFE
JOURNALISM Ranjan writes and edits short articles for a local newspaper. It takes him about an hour to write an article and about a half-hour to edit an article. If Ranjan works up to 8 hours a day, how many articles can he write and edit in one day?
Let x equal the number of articles Ranjan can write.
Let y equal the number of articles that Ranjan can edit.
Write an open sentence representing the situation.

12. Cornell Notes EXAMPLE 3 – REAL LIFE
*GRAPH INEQUALITY TO REPRESENT ALL POSSIBLE COMBINATIONS FOR RANJAN

13. WILL COMPLETE EXIT SLIP MONDAY AFTER THE 5.6 DAY 2 REVIEW
When done…
Write Cornell Notes Summary